Cantitate/Preț
Produs
Total produse
Vezi coșul
Real Analysis: With Proof Strategies de Daniel W. Cunningham

Real Analysis: With Proof Strategies: Textbooks in Mathematics

Autor Daniel W. Cunningham
en Limba Engleză Hardback – 14 dec 2020
Typically, undergraduates see real analysis as one of the most difficult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to find a way to bridge the gap between a student’s preparation and the mathematical skills that are required to be successful in such a course.
Real Analysis: With Proof Strategies provides a resolution to the "bridging-the-gap problem." The book not only presents the fundamental theorems of real analysis, but also shows the reader how to compose and produce the proofs of these theorems. The detail, rigor, and proof strategies offered in this textbook will be appreciated by all readers.
Features
  • Explicitly shows the reader how to produce and compose the proofs of the basic theorems in real analysis
  • Suitable for junior or senior undergraduates majoring in mathematics.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 25547 lei  6-8 săpt.
  CRC Press – 9 ian 2023 25547 lei  6-8 săpt.
Hardback (1) 68387 lei  6-8 săpt.
  CRC Press – 14 dec 2020 68387 lei  6-8 săpt.

Din seria Textbooks in Mathematics

  • 8% An Invitation to Abstract Algebra
    Preț: 40696 lei
  • 9% Discrete Mathematics with Coding
    Preț: 64578 lei
  • 9% An Introduction to Optimization with Applications in Machine Learning and Data Analytics
    Preț: 64557 lei
  • 20% Advanced Problem Solving Using Maple: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis
    Preț: 55981 lei
  • 9% Differential Equations with Applications and Historical Notes
    Preț: 68186 lei
  • 8% Linear Algebra and Its Applications with R
    Preț: 40755 lei
  • A Bridge to Higher Mathematics
    Preț: 32678 lei
  • 8% A Course in Abstract Harmonic Analysis
    Preț: 40569 lei
  • 9% Applied Differential Equations: The Primary Course
    Preț: 94243 lei
  • 9% Probability and Statistics for Engineering and the Sciences with Modeling using R
    Preț: 64477 lei
  • Graph Theory and Its Applications
    Preț: 35092 lei
  • Student Solutions Manual for Gallian's Contemporary Abstract Algebra
    Preț: 35400 lei
  • Cryptography: Theory and Practice
    Preț: 34923 lei
  • 8% Numerical Methods and Analysis with Mathematical Modelling
    Preț: 52544 lei
  • 9% Encounters with Chaos and Fractals
    Preț: 57586 lei
  • 8% The Elements of Advanced Mathematics
    Preț: 40555 lei
  • 9% Abstract Algebra: A Gentle Introduction
    Preț: 61096 lei
  • Computational Linear Algebra: with Applications and MATLAB® Computations
    Preț: 35819 lei
  • Classical Vector Algebra
    Preț: 30835 lei
  • 9% Linear Algebra With Machine Learning and Data
    Preț: 57294 lei
  • 9% Multiplicative Differential Calculus
    Preț: 59199 lei
  • Exploring Linear Algebra: Labs and Projects with MATLAB®
    Preț: 35433 lei
  • The Shape of Space
    Preț: 38989 lei
  • Spherical Geometry and Its Applications
    Preț: 34189 lei
  • 9% Measure and Integral: Theory and Practice
    Preț: 64659 lei
  • Quantitative Literacy Through Games and Gambling
    Preț: 35372 lei
  • 8% Measure Theory and Fine Properties of Functions, Revised Edition
    Preț: 56409 lei
  • 8% Abstract Algebra: A First Course
    Preț: 41018 lei
  • 8% Practical Linear Algebra: A Geometry Toolbox
    Preț: 41053 lei
  • Business Process Modeling, Simulation and Design
    Preț: 34735 lei
  • 9% Mathematical Biology: Discrete and Differential Equations
    Preț: 57530 lei
  • 8% Games, Gambling, and Probability: An Introduction to Mathematics
    Preț: 40921 lei
  • 9% Advanced Linear Algebra
    Preț: 61451 lei
  • 8% Real Analysis and Foundations
    Preț: 40894 lei
  • Taking the “Oof!” Out of Proofs
    Preț: 37009 lei
  • 8% Graphs & Digraphs
    Preț: 41341 lei
  • Complex Variables: A Physical Approach with Applications
    Preț: 34155 lei
  • 20% Computational Optimization: Success in Practice
    Preț: 57373 lei
  • Introduction to Number Theory
    Preț: 30941 lei
  • Differential Equations: A Modern Approach with Wavelets
    Preț: 34376 lei
  • 20% Computational Partial Differential Equations Using MATLAB®
    Preț: 29542 lei
  • 8% Elements Of Algebraic Topology
    Preț: 46081 lei

Preț: 68387 lei

Preț vechi: 85483 lei
-20% Nou

Puncte Express: 1026
Preț estimativ în valută:
13090€ • 13752$ • 11001£

Carte tipărită la comandă

Livrare economică 12-26 martie

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780367549657
ISBN-10: 0367549654
Pagini: 282
Ilustrații: 25 Illustrations, black and white
Dimensiuni: 178 x 254 x 18 mm
Greutate: 0.69 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics

Cuprins

1. Proofs, Sets, Functions, and Induction. 1.1. Proofs. 1.2. Sets. 1.3. Functions. 1.4. Mathematical Induction. 2. The Real Numbers. 2.1. Introduction. 2.2. R is an Ordered Field. 2.3 The Completeness Axiom. 2.4. The Archimedean Property. 2.5. Nested Intervals Theorem. 3. Sequences. 3.1 Convergence. 3.2 Limit Theorems for Sequences. 3.3. Subsequences. 3.4. Monotone Sequences. 3.5. Bolzano–Weierstrass Theorems. 3.6. Cauchy Sequences. 3.7. Infinite Limits. 3.8. Limit Superior and Limit Inferior. 4. Continuity. 4.1. Continuous Functions. 4.2. Continuity and Sequences. 4.3. Limits 0f Functions. 4.4. Consequences 0f Continuity. 4.5 Uniform Continuity. 5. Differentiation. 5.1. The Derivative. 5.2. The Mean Value Theorem. 5.3. Taylor’s Theorem. 6. _ Riemann Integration. 6.1. The Riemann Integral. 6.2. Properties of The Riemann Integral. 6.3. Families of Integrable Functions. 6.4. The Fundamental Theorem of Calculus. 7. Infinite Series. 7.1. Convergence and Divergence. 7.2 Convergence Tests. 7.3. Regrouping and Rearranging Terms of a Series. 8. Sequences and Series of Functions. 8.1 Pointwise and Uniform Convergence. 8.2. Preservation Theorems. 8.3. Power Series. 8.4. Taylor Series. Appendix A: Proof of the Composition Theorem. Appendix B: Topology on the Real Numbers. Appendix C: Review of Proof and Logic.

Notă biografică

Daniel W. Cunningham is a Professor of Mathematics at SUNY Buffalo State, a campus of the State University of New York. He was born and raised in Southern California and holds a Ph.D. in mathematics from the University of California at Los Angeles (UCLA). He is also a member of the Association for Symbolic Logic, the American Mathematical Society, and the Mathematical Association of America.
Cunningham is the author of multiple books. Before arriving at Buffalo State, Professor Cunningham worked as a software engineer in the aerospace industry

Recenzii

"This textbook is intended for undergraduate students who have completed a standard calculus course sequence that covers differentiation and integration and a course that introduces the basics of proof-writing. For students who have a limited proof-writing background, the author includes an abbreviated discussion of proofs, sets, functions, and induction in Chapter 1.
 
[. . . ] In summary, this book is a good resource for student’s who are taking a first course in real analysis and who have a limited background in proof-writing."
– MAA Reviews
"Real Analysis: With Proof Strategies by Professor Daniel W. Cunningham explicitly shows the reader how to produce and compose the proofs of the basic theorems in real analysis and is eminently suitable for junior or senior undergraduates majoring in mathematics."
– Midwest Book Review

Descriere

This book provides a resolution to the "bridging-the-gap problem." The book not only presents the fundamental theorems of real analysis, but also shows the reader how to compose and produce the proofs of these theorems.